A modified mixed Ishikawa iteration for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings. (English) Zbl 1473.47045

Wang, Yuanheng; Shi, Huimin

Abstr. Appl. Anal. 2014, Article ID 129069, 7 p. (2014).

Summary: A new modified mixed Ishikawa iterative sequence with error for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings is introduced. By the flexible use of the iterative scheme and a new lemma, some strong convergence theorems are proved under suitable conditions. The results in this paper improve and generalize some existing results.

MSC:

47J25	Iterative procedures involving nonlinear operators
47H09	Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

modified mixed Ishikawa iterative sequence; asymptotically quasi pseudocontractive type mappings; strong convergence

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